young hen broody again!

In October my about 6-7 months old bantam decided to sit on eggs. Unfortunately eggs were either infertile or stopped developing quite early. Nevertheless she sat on eggs for about 25-26 days. I got a rooster just this summer and I haven't experience with broody hens or hatching yet, so I didn't interrupt much, but I did candle the eggs then and after some 10 days of hatching it seemed there is no development... But the hen was very committed and I was busy and so it went until she gave up.
But now she is broody again!
There isn't even many eggs under her, just 3 and a golf ball. One of the eggs is hers, others she just rolled under her (I have only one large community nesting box).
I even don't know if the eggs are fertile, because it is winter here and the rooster is a Wyandotte (of unknown age).
Should I somehow stop the hen being broody?
I would like 2-3 chicks, but I don't want her to sit for nothing another month in case the eggs are not fertile/not developing again.
And the weather might get very cold for a long period (but it can stay around 0 Celsius until spring, I can never know).
What should I do?
Will she continue to get broody every second month?